Watch some of the videos by Louis Rossmann on You Tube as he is often removing the LCD panel connectors.
As a general rule, it is OK to use hot air in the removal of a plastic connector provided you do not intend to reuse it. They normally get burnt and/or melted at solder melting temperatures, especially now that lead free solder is used.
I have specialist solder bar heads for my PACE soldering irons and tweezers. These can melt the solder on a row of connector pins, or in the case of the tweezers, two rows of pins. The connector is often removable without damage and may be reused if needed. You would normally be removing an already faulty connector though !
Fitting a new socket is best achieved using a soldering iron as Louis regularly demonstrates. Plenty of liquid flux and drag soldering works. Tidy up with good solder wick and more flux. Clean flux away with IPA or flux remover.
Some SMT IC sockets are made of high temperature thermoset plastics or bakalite like material. These can often be soldered into place with hot air just like a normal SMT IC as they do not melt.
As Louis has said in his videos, for many situations exact hot air temperatures are not necessary. Set a temperature above solder melting point and try it. If needed, increase the temperature a little at a time. I regularly use 350C without problems. It's about technique more than temperature. Start with the nozzle about 4 inches from the component. Keep the nozzle moving in circles around the item to be soldered or desoldered to warm the PCB. Then move in closer to the component and keep the nozzle moving over the pins until the flux flows and the solder melts. Then gently pull away whilst still circling the component to let the solder cool and harden before touching the PCB. I normally end up with the nozzle circling about 1" from the component when wanting to melt the solder quickly. With desoldering you would of course remove the component when the solder melts.
Also set the air flow such that it is not blowing components off the PCB ! I tend to run at quite high air flows but the mid range point is often fine.
For really fine work I use a hot air pencil and you can solder small plastic connectors with that due to its very fine hot air jet of less than 2mm diameter. It is still risky though.
Most ICs are made of materials that will not melt easily. They can be scorched but then you need to look at technique rather than temperature.
Fraser